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Simplifying 8(p + 1) + -7 = 15p + -4 Reorder the terms: 8(1 + p) + -7 = 15p + -4 (1 * 8 + p * 8) + -7 = 15p + -4 (8 + 8p) + -7 = 15p + -4 Reorder the terms: 8 + -7 + 8p = 15p + -4 Combine like terms: 8 + -7 = 1 1 + 8p = 15p + -4 Reorder the terms: 1 + 8p = -4 + 15p Solving 1 + 8p = -4 + 15p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-15p' to each side of the equation. 1 + 8p + -15p = -4 + 15p + -15p Combine like terms: 8p + -15p = -7p 1 + -7p = -4 + 15p + -15p Combine like terms: 15p + -15p = 0 1 + -7p = -4 + 0 1 + -7p = -4 Add '-1' to each side of the equation. 1 + -1 + -7p = -4 + -1 Combine like terms: 1 + -1 = 0 0 + -7p = -4 + -1 -7p = -4 + -1 Combine like terms: -4 + -1 = -5 -7p = -5 Divide each side by '-7'. p = 0.7142857143 Simplifying p = 0.7142857143
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